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Finding the Fourth Proportional to 107,784.80, 148,731.66 and 62,477

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Solution

The fourth proportional to 107,784.80, 148,731.66 and 62,477 is: 86,211.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,784.80 : 148,731.66 = 62,477 : x
  2. Step 2: Convert to fraction form
    107,784.80/148,731.66 = 62,477/x
  3. Step 3: Cross multiply
    107,784.80x = 148,731.66 × 62,477
  4. Step 4: Simplify right side
    107,784.80x = 9,292,307,921.82
  5. Step 5: Solve for x
    x = 9,292,307,921.82/107,784.80
  6. Step 6: Final answer
    x = 86,211.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.